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Finding the Fourth Proportional to 1,555.02, 2,332.94 and 459.38

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Solution

The fourth proportional to 1,555.02, 2,332.94 and 459.38 is: 689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.02 : 2,332.94 = 459.38 : x
  2. Step 2: Convert to fraction form
    1,555.02/2,332.94 = 459.38/x
  3. Step 3: Cross multiply
    1,555.02x = 2,332.94 × 459.38
  4. Step 4: Simplify right side
    1,555.02x = 1,071,714.73
  5. Step 5: Solve for x
    x = 1,071,714.73/1,555.02
  6. Step 6: Final answer
    x = 689.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.